103320322000 has 240 divisors, whose sum is σ = 307716943248. Its totient is φ = 33339801600.

The previous prime is 103320321931. The next prime is 103320322043. The reversal of 103320322000 is 223023301.

103320322000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 679540624 + 102640781376 = 26068^2 + 320376^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1634992 + ... + 1697008.

Almost surely, 2^103320322000 is an apocalyptic number.

103320322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103320322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153858471624).

103320322000 is an abundant number, since it is smaller than the sum of its proper divisors (204396621248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103320322000 is a wasteful number, since it uses less digits than its factorization.

103320322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62071 (or 62048 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 103320322000 its reverse (223023301), we get a palindrome (103543345301).

The spelling of 103320322000 in words is "one hundred three billion, three hundred twenty million, three hundred twenty-two thousand".